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Finding the Fourth Proportional to 100,251.14, 150,399.90 and 29,175.44

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Solution

The fourth proportional to 100,251.14, 150,399.90 and 29,175.44 is: 43,769.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,251.14 : 150,399.90 = 29,175.44 : x
  2. Step 2: Convert to fraction form
    100,251.14/150,399.90 = 29,175.44/x
  3. Step 3: Cross multiply
    100,251.14x = 150,399.90 × 29,175.44
  4. Step 4: Simplify right side
    100,251.14x = 4,387,983,258.46
  5. Step 5: Solve for x
    x = 4,387,983,258.46/100,251.14
  6. Step 6: Final answer
    x = 43,769.91

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.